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| EIGENVECTOR ANALYSIS OF SZABLE STATES FOR A KIND OF DISCRETE HOPFIELD NETWORKS |
| Zhang Junying; Xu Jin; Bao Zheng |
| Nat. Defense Key Lab. on Radar Signal Processing Xidian Univ.,Xi an 710071 China |
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Abstract The eigenvector of n-cube graph is found and then a kind of Hopfield networks with n-cube as its structure and connection situation, called n-cube network, are analysed theoretically for the attractions states/cycles and their distribution in the state space of the network. The analysis shows that the eigenvectors of the connection matrix of the network and their linkages are, in general, either the attraction states or attraction cycles of the net, and the distribution of these states/cycles is symmetric and uniform in state space of the network.
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Received: 15 October 1999
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2001, Vol. 23 
